Random wave functions and percolation

Details Random wave functions and percolation Random wave functions and percolation

2007-08-31

arxiv.org/abs/0708.4335v1

Nonlinear Sciences

Chaotic Dynamics

13 pages

Scientific paper

10.1088/1751-8113/40/47/001

Recently it was conjectured that nodal domains of random wave functions are adequately described by critical percolation theory. In this paper we strengthen this conjecture in two respects. First, we show that, though wave function correlations decay slowly, a careful use of Harris' criterion confirms that these correlations are unessential and nodal domains of random wave functions belong to the same universality class as non critical percolation. Second, we argue that level domains of random wave functions are described by the non-critical percolation model.

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